In this paper, we prove that unviolated simple Leibniz rule and equation for fractional-order derivative of power function cannot hold together for derivatives of orders . To prove this statement, we use an algebraic approach, where special form of fractional-order derivatives is not applied.
Leibniz Rule and Fractional Derivatives of Power Functions
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received July 14, 2015; final manuscript received August 17, 2015; published online October 23, 2015. Assoc. Editor: Gabor Stepan.
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Tarasov, V. E. (October 23, 2015). "Leibniz Rule and Fractional Derivatives of Power Functions." ASME. J. Comput. Nonlinear Dynam. May 2016; 11(3): 031014. https://doi.org/10.1115/1.4031364
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